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Finding the Fourth Proportional to 275,756.81, 413,635.51 and 86,218.16

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Solution

The fourth proportional to 275,756.81, 413,635.51 and 86,218.16 is: 129,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,756.81 : 413,635.51 = 86,218.16 : x
  2. Step 2: Convert to fraction form
    275,756.81/413,635.51 = 86,218.16/x
  3. Step 3: Cross multiply
    275,756.81x = 413,635.51 × 86,218.16
  4. Step 4: Simplify right side
    275,756.81x = 35,662,890,622.46
  5. Step 5: Solve for x
    x = 35,662,890,622.46/275,756.81
  6. Step 6: Final answer
    x = 129,327.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.